{
  "id": 1014,
  "curve_key": "-7631:-1489321",
  "ainvs": [
    "1",
    "0",
    "0",
    "159",
    "1737"
  ],
  "rank_lower_bound": 0,
  "torsion": [
    7
  ],
  "naive_height": 28.42766173871743,
  "faltings_height": 0.4459669231308827,
  "conductor": "258",
  "bad_primes": [
    "2",
    "3",
    "43"
  ],
  "discriminant": "-1540767744",
  "regulator": "1",
  "points": [],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 258f1 = LMFDB 258.f2: https://www.lmfdb.org/EllipticCurve/Q/258/f/2\n\nMordell–Weil rank exactly 0 (Cremona's tables). Conductor 258, minimal discriminant -1540767744, torsion ℤ/7ℤ.",
  "created_at": "2026-09-23 15:15:25",
  "updated_at": "2026-09-23 15:15:25"
}